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Simplifying 180 = 6(5k + 5) Reorder the terms: 180 = 6(5 + 5k) 180 = (5 * 6 + 5k * 6) 180 = (30 + 30k) Solving 180 = 30 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 180 + -30k = 30 + 30k + -30k Combine like terms: 30k + -30k = 0 180 + -30k = 30 + 0 180 + -30k = 30 Add '-180' to each side of the equation. 180 + -180 + -30k = 30 + -180 Combine like terms: 180 + -180 = 0 0 + -30k = 30 + -180 -30k = 30 + -180 Combine like terms: 30 + -180 = -150 -30k = -150 Divide each side by '-30'. k = 5 Simplifying k = 5
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